Practical Bifurcation and Stability Analysis
This book covers the central role that bifurcations play in nonlinear phenomena, explaining mechanisms of how stability is gained or lost. It emphasizes practical and computational methods for analyzing dynamical systems. A wide range of phenomena between
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J.E. Marsden
Geophysics and Planetary Sciences Mathematical Biology L. Glass, J.D. Murray Mechanics and Materials R.V. Kohn Systems and Control S.S. Sastry, P.S. Krishnaprasad
Problems in engineering, computational science, and the physical and biological sciences are using increasingly sophisticated mathematical techniques. Thus, the bridge between the mathematical sciences and other disciplines is heavily traveled. The correspondingly increased dialog between the disciplines has led to the establishment of the series: Interdisciplinary Applied Mathematics. The purpose of this series is to meet the current and future needs for the interaction between various science and technology areas on the one hand and mathematics on the other. This is done, firstly, by encouraging the ways that mathematics may be applied in traditional areas, as well as point towards new and innovative areas of applications; and, secondly, by encouraging other scientific disciplines to engage in a dialog with mathematicians outlining their problems to both access new methods and suggest innovative developments within mathematics itself. The series will consist of monographs and high-level texts from researchers working on the interplay between mathematics and other fields of science and technology.
For other titles published in this series, go to http://www.springer.com/series/1390
R¨udiger Seydel
Practical Bifurcation and Stability Analysis Third Edition
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R¨udiger Seydel Universit¨at zu K¨oln Mathematisches Institut Weyertal 86-90 50931 K¨oln Germany [email protected]
Series Editors S.S. Antman Department of Mathematics and Institute for Physical Science and Technology University of Maryland College Park, MD 20742 USA [email protected]
J.E. Marsden Control and Dynamical Systems Mail Code 107-81 California Institute of Technology Pasadena, CA 91125 10122 Torino USA [email protected]
L. Sirovich Department of Biomathenatics Laboratory of Applied Mathematics Mt. Sinai School of Medicine Box 1012 NYC 10029 USA [email protected]
ISBN 978-1-4419-1739-3 e-ISBN 978-1-4419-1740-9 DOI 10.1007/978-1-4419-1740-9 Springer New York Dordrecht Heidelberg London MSC 2010: 34C, 65P, 34A, 34B, 34D, 35B32, 37M, 37N, 65L07, 70Kxx, 70-08, 70K, 76E30, 92-08 Library of Congress Control Number: 2009941054 c Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not the
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